5 papers
Backtracking New Q-Newton's method for finding roots of meromorphic functions in 1 complex variable: Global convergence, and local stable/unstable curves
John Erik Fornæss, Mi Hu, Tuyen Trung Truong
In this paper, we research more in depth properties of Backtracking New Q-Newton's method (recently designed by the third author), when used to find roots of meromorphic functions.…
Wythoff's Nim with Finite Alterations
Mirabel Hu, Daniel Sleator, William Tsin
Wythoff's Nim is a variant of 2-pile Nim in which players are allowed to take any positive number of stones from pile 1, or any positive number of stones from pile 2, or the same p…
Backtracking New Q-Newton's method, Newton's flow, Voronoi's diagram and Stochastic root finding
John Erik Fornaess, Mi Hu, Tuyen Trung Truong +1
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental perform…
Backtracking New Q-Newton's method, Schröder's theorem, and Linear Conjugacy
John Erik Fornaess, Mi Hu, Tuyen Trung Truong +1
A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental perform…
Orbits inside Fatou sets
John Erik Fornaess, Mi Hu
In this paper, we investigate the precise behavior of orbits inside attracting basins of rational functions on and entire functions in . Let be…